λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,922,743
36,922,743
33 × 11 × 13 × 73 × 131
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 11 × 13 × 73 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 65,640,960
Proper Divisor Sum 28,718,217
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36922729 ← → #36922747

Radix Representation

Decimal 36922743
Binary 10001100110110010101110111 (26 bits)
Octal 0o214662567
Hexadecimal 0x2336577

Divisor Catalog (60 of 64)

1 3 9 11 13 27 33 39 73 99 117 131 143 219 297 351 393 429 657 803 949 1,179 1,287 1,441 1,703 1,971 2,409 2,847 3,537 3,861 4,323 5,109 7,227 8,541 9,563 10,439 12,969 15,327 18,733 21,681 25,623 28,689 31,317 38,907 45,981 56,199 86,067 93,951 105,193 124,319 168,597 258,201 281,853 315,579 372,957 505,791 946,737 1,118,871 1,367,509 2,840,211

Collatz Trajectory (289 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

36,922,743 110,768,230 55,384,115 166,152,346 83,076,173 249,228,520 124,614,260 62,307,130 31,153,565 93,460,696 46,730,348 23,365,174 11,682,587 35,047,762 17,523,881 52,571,644 26,285,822 13,142,911 39,428,734 19,714,367 59,143,102 29,571,551 88,714,654 44,357,327 133,071,982 66,535,991 199,607,974 99,803,987 299,411,962 149,705,981 449,117,944 224,558,972 112,279,486 56,139,743 168,419,230 84,209,615 252,628,846 126,314,423 378,943,270 189,471,635 568,414,906 284,207,453 852,622,360 426,311,180 213,155,590 106,577,795 319,733,386 159,866,693 479,600,080 239,800,040 119,900,020 59,950,010 29,975,005 89,925,016 44,962,508 22,481,254 11,240,627 33,721,882 16,860,941 50,582,824

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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